On a class of nonlinear integral equations arising in neutron transport
From MaRDI portal
Publication:1110765
DOI10.1007/BF01837974zbMath0657.45001MaRDI QIDQ1110765
Publication date: 1988
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/137277
Banach spaceradiative transfermethod of continuationChandrasekhar quadratic integral equationneutron transportabstract quadratic equationbilinear symmetric operator
Other nonlinear integral equations (45G10) Transport processes in time-dependent statistical mechanics (82C70) Radiative transfer in astronomy and astrophysics (85A25)
Related Items
The Jarratt method in Banach space setting ⋮ A local convergence theorem for the super-Halley method in a Banach space ⋮ On a special class of nonlinear integral equations ⋮ Recurrence relations for the super-Halley method ⋮ Global convergence domains for an efficient fifth order iterative scheme ⋮ On iterative methods with accelerated convergence for solving systems of nonlinear equations ⋮ Restricted global convergence domains for integral equations of the Fredholm-Hammerstein type ⋮ On the Kung-Traub conjecture for iterative methods for solving quadratic equations ⋮ An improvement to double-step Newton method and its multi-step version for solving system of nonlinear equations and its applications ⋮ A weak Kantorovich existence theorem for the solution of nonlinear equations ⋮ An extension of Gander's result for quadratic equations ⋮ Results on Newton methods. I: A unified approach for constructing perturbed Newton-like methods in Banach space and their applications ⋮ Results on Newton methods. I: A unified approach for constructing perturbed Newton-like methods in Banach space and their applications ⋮ Domains of global convergence for a type of nonlinear Fredholm-Nemytskii integral equations ⋮ Some higher order Newton-like methods for solving system of nonlinear equations and its applications ⋮ On the convergence of inexact two-step Newton-like algorithms using recurrent functions ⋮ Solving nonlinear integral equations arising in radiative transfer ⋮ On global convergence for an efficient third-order iterative process ⋮ Toward a unified theory for third \(R\)-order iterative methods for operators with unbounded second derivative ⋮ Location of solutions of Fredholm-Nemytskii integral equations from a Whittaker-type operator ⋮ Sufficient conditions for constructing methods faster than Newton's ⋮ A note on the Halley method in Banach spaces ⋮ A fourth-order nonlinear iterative method in Banach spaces
Cites Work
- Unnamed Item
- Unnamed Item
- The solution of characteristic value-vector problems by Newton's method
- Quadratic equations in Banach spaces
- On the H-Functions for Isotropic Scattering
- Quadratic equations and applications to Chandrasekhar's and related equations
- Some probability distributions for neutron transport in a half-space
This page was built for publication: On a class of nonlinear integral equations arising in neutron transport